Geometry and Physics
Welcome to the official webpage of the “Geometry and Physics” project funded by the Knut and Alice Wallenberg Foundation.
Seminars
Publications
 Representations of FiniteDimensional Algebras and Gabriel’s Theorem. 2019
 Talteori och kryptering. 2019
 Positive Legendrian Isotopies And Floer Theory. 2019
 Axion dark matter from Higgs inflation with an intermediate H*. 2019
 Finiteness of Complete Intersection Calabi Yau Threefolds. 2019
 Linear and nonlinear optical properties of donors inside a CdSe/ZnTe core/shell nanodot: Role of size modulation. 2019
 Symplectic homology of complements of smooth divisors. 2019
 Quenched coupling, entangled equilibria, and correlated composite operators: a tale of two O(N) models. 2019
 Revisiting a Negative Cosmological Constant from LowRedshift Data. 2019
 Equivariant cohomology of moduli spaces of genus three curves with level two structure. 2019
About the "Geometry and Physics" project
In the last twenty years, thanks to the prominent role of string theory, the interaction between mathematics and physics has led to significant progress in both subjects. String theory, as well as quantum field theory, has contributed to a series of profound ideas which gave rise to entirely new mathematical fields and revitalized older ones.
From a mathematical perspective some examples of this fruitful interaction are the SeibergWitten theory of fourmanifolds, the discovery of Mirror Symmetry and GromovWitten theory in algebraic geometry, the study of the Jones polynomial in knot theory, the advances in low dimensional topology and the recent progress in the geometric Langlands program.
From a physical point of view, mathematics has provided physicists with powerful tools to develop their research. To name a few examples, index theorems of differential operators, toric geometry, Ktheory and CalabiYau manifolds.
The main focus of the “Geometry and Physics” project regards the following areas:

Contact geometry and supersymmetric gauge theories.

Symplectic geometry and topological strings.

Symplectic geometry and physics interactions with lowdimensional topology.